Melody

What is meant to be between the 3 and the 14?

Undefined (indeterminant).  You cannot divide by 0.

Start by adding 4x to both sides

then

subtract 4 from both sides

then 

think about what you need to do next.  

Add another post onto the end of this one if you need more assistance.

2+5=7  There will be a total of 7 parts.

2/7 of 252 will be one part

and

5/7 of 252 will be the other part.

You can finish it yourself.  If you doubt your answer than you can ask if it is correct.  

I can - All smiles from me.  

Copy the code underneath here.  

Open LaTex and paste it in.   Give it a moment to process it and then press ok

\frac{6}{4\frac{1}{2}}

This will be your output

$$\frac{6}{4\frac{1}{2}}$$

Give it a go.  

Sorry Rosala I misunderstood your question

\\\frac{Flour}{Milk}=\frac{1}{1\frac{2}{4}}=\frac{flour\;needed}{2\frac{1}{2}}\\\\\\

\begin{array}{rll} \frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&2\frac{1}{2}\times \frac{flour\;needed}{2\frac{1}{2}}\\\\

2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&\;flour\;needed\\\\

flour\;needed&=&\;2\frac{1}{2}\div {1\frac{2}{4}}\\\\

\end{array}

This is the LaTex that I used.  It looks horrible when it is in a big chunk like this but you can learn to do it a little a time.  It is not that hard.

---------------------------------------------------------------------

Just look at this bit

\frac{flour\;needed}{2\frac{1}{2}}  

$$\frac{flour\;needed}{2\frac{1}{2}}$$   this is the LaTex output

\ means that a function will follow

frac means fraction  the top is in the first parenthesis { } and the bottom is in the next parenthesis { }

But you can see I have embedded another fraction inside second lot of parenthesis so there will be a fraction on the bottom.

Does that make sense?

Well it is a ratio question and they can be done like fractions.

The ratio of flour to milk will always be the same and this ratio is

$$\begin{array}{rll}
flour&:&milk\\
1&:&1\frac{2}{4}\qquad \mbox{this one you have been given}\\
flour\; needed&:&2\frac{1}{2}\qquad \mbox{This is the new ratio but it must be the same as the other one so I turned them into fractions}\\\\
\frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}
\end{array}$$

Do you understand now Rosala?

$$\\\frac{Flour}{Milk}=\frac{1}{1\frac{2}{4}}=\frac{flour\;needed}{2\frac{1}{2}}\\\\\\
\begin{array}{rll}
\frac{1}{1\frac{2}{4}}&=&\frac{flour\;needed}{2\frac{1}{2}}\\\\
2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&2\frac{1}{2}\times \frac{flour\;needed}{2\frac{1}{2}}\\\\
2\frac{1}{2}\times \frac{1}{1\frac{2}{4}}&=&\;flour\;needed\\\\
flour\;needed&=&\;2\frac{1}{2}\div {1\frac{2}{4}}\\\\
\end{array}$$

$${\frac{\left({\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{4}}}}\right)}} = {\frac{{\mathtt{5}}}{{\mathtt{3}}}} = {\mathtt{1.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

$$\mbox{So it looks like you need }1\frac{2}{3}\;\mbox{cups of flour}$$

Do you mean

   $$\\\sqrt{\frac{4}{9}}=\frac{2}{3}\\\\
OR\\\\
\frac{\sqrt4}{9}=\frac{2}{9}$$